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Finding the Fourth Proportional to 9,503.84, 13,095.60 and 8,082.56

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Solution

The fourth proportional to 9,503.84, 13,095.60 and 8,082.56 is: 11,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.84 : 13,095.60 = 8,082.56 : x
  2. Step 2: Convert to fraction form
    9,503.84/13,095.60 = 8,082.56/x
  3. Step 3: Cross multiply
    9,503.84x = 13,095.60 × 8,082.56
  4. Step 4: Simplify right side
    9,503.84x = 105,845,972.74
  5. Step 5: Solve for x
    x = 105,845,972.74/9,503.84
  6. Step 6: Final answer
    x = 11,137.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.